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Finding the Fourth Proportional to 2,846.94, 4,272.34 and 998.04

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Solution

The fourth proportional to 2,846.94, 4,272.34 and 998.04 is: 1,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.94 : 4,272.34 = 998.04 : x
  2. Step 2: Convert to fraction form
    2,846.94/4,272.34 = 998.04/x
  3. Step 3: Cross multiply
    2,846.94x = 4,272.34 × 998.04
  4. Step 4: Simplify right side
    2,846.94x = 4,263,966.21
  5. Step 5: Solve for x
    x = 4,263,966.21/2,846.94
  6. Step 6: Final answer
    x = 1,497.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.